What is the Greatest Common Factor of 13567 and 13585?

Greatest common factor (GCF) of 13567 and 13585 is 1.

GCF(13567,13585) = 1

We will now calculate the prime factors of 13567 and 13585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13567 and 13585.

How to find the GCF of 13567 and 13585?

We will first find the prime factorization of 13567 and 13585. After we will calculate the factors of 13567 and 13585 and find the biggest common factor number .

Step-1: Prime Factorization of 13567

Prime factors of 13567 are 13567. Prime factorization of 13567 in exponential form is:

13567 = 13567¹

Step-2: Prime Factorization of 13585

Prime factors of 13585 are 5, 11, 13, 19. Prime factorization of 13585 in exponential form is:

13585 = 5¹ × 11¹ × 13¹ × 19¹

Step-3: Factors of 13567

List of positive integer factors of 13567 that divides 13567 without a remainder.

Step-4: Factors of 13585

List of positive integer factors of 13585 that divides 13567 without a remainder.

1, 5, 11, 13, 19, 55, 65, 95, 143, 209, 247, 715, 1045, 1235, 2717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13567 and 13585. The biggest common factor number is the GCF number.
So the greatest common factor 13567 and 13585 is 1.

Also check out the Least Common Multiple of 13567 and 13585